Orbital Analysis for matched events on 20210810_015039.843_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 59.63° Bg 38.53° Vg 58.04km/s
mass 0.03948g, abs. mag -1.6
Path Details
------------
start -2.12° 53.57° 109.42km
end   -2.23° 53.53° 95.52km

Orbit Details
-------------
Semimajor axis 6.78A.U., eccentricity 0.86, inclination 112.50°, Period 17.64Y, LA Sun 137.38°, last Perihelion 2021-07-20

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.576850041747
Time: 2021-08-10 01:50:39.884403 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0029
 Convergence angle = 68.92327 deg
 R.A. =  43.29701  Dec = +57.38377 deg
Intersection 2 - Stations: UK001L and UK002Z
 Convergence angle = 60.61961 deg
 R.A. =  43.05666  Dec = +56.82165 deg
Intersection 3 - Stations: UK0029 and UK002Z
 Convergence angle = 50.46019 deg
 R.A. =  42.10180  Dec = +57.28847 deg

Best intersection: Stations UK001L and UK0029 with Qconv = 68.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3718058.47 +/- 81.37 m
 Y =  -1042430.88 +/- 79.89 m
 Z =   5199054.86 +/- 74.05 m
 Vx =    23300.49 +/- 469.81 m/s
 Vy =    21790.09 +/- 564.91 m/s
 Vz =    49742.57 +/- 411.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.061982e+03, -2.759583e+03, +1.779612e+03, +2.422907e+04, -2.691872e+04, -1.655174e+04
-2.759583e+03, +6.644381e+03, -4.375339e+03, -7.725412e+03, +3.803667e+04, -1.468212e+04
+1.779612e+03, -4.375339e+03, +5.468142e+03, +1.975142e+03, -2.572879e+04, +1.598776e+04
+2.422907e+04, -7.725412e+03, +1.975142e+03, +9.754115e+04, -8.590176e+04, -7.168085e+04
-2.691872e+04, +3.803667e+04, -2.572879e+04, -8.590176e+04, +2.470962e+05, -4.859418e+04
-1.655174e+04, -1.468212e+04, +1.598776e+04, -7.168085e+04, -4.859418e+04, +1.431030e+05

Timing offsets (from input data):
    UK001L: -0.000038 s
    UK001Z: 0.000000 s
    UK0029: 0.000550 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:50:39.884403 UTC
  Lon     = +-2.097015 +/- 0.0011 deg
  Lat     = +53.578957 +/- 0.0006 deg
  Lat geo = +53.398093 +/- 0.0006 deg
  Ht      =  111789.15 +/- 91.27 m

  JD dynamic   = 2459436.577651254833 
  LST apparent = 344.3381139046 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.08148 +/- 0.9064 deg
  Dec       = +57.32646 +/- 0.4096 deg
  Azimuth   =  59.26793 +/- 0.7368 deg
  Elevation = +57.52777 +/- 0.5072 deg
  Vavg      =  58.47061 +/- 0.2298 km/s
  Vinit     =  59.09352 +/- 0.2175 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.34191 +/- 0.9064 deg
  Dec       = +57.13016 +/- 0.4096 deg
  Azimuth   =  59.52582 +/- 0.7368 deg
  Elevation = +57.32996 +/- 0.5072 deg
  Vavg      =  58.60108 +/- 0.2298 km/s
  Vinit     =  59.22399 +/- 0.2175 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.20178 +/- 0.9084 deg
  Dec    = +57.14147 +/- 0.4141 deg
  Vg     =  58.04266 +/- 0.2215 km/s
  Vinf   =  59.09352 +/- 0.2175 km/s
  Zc     =  32.56498 +/- 0.5071 deg
  Zg     =  32.86526 +/- 0.5117 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.62885 +/- 0.5778 deg
  Bg     = +38.53344 +/- 0.4607 deg
  Vh     =  40.24030 +/- 0.3644 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.34077 +/- 1.2483 deg
  Bh     = +63.97492 +/- 0.6400 deg
  Vh_x   =  -3.26579 +/- 0.3039 km/s
  Vh_y   = -17.35136 +/- 0.4273 km/s
  Vh_z   = -36.16002 +/- 0.4441 km/s
Orbit:
  La Sun = 137.382868 +/- 0.0000 deg
  a      =   6.775159 +/- 1.4666 AU
  e      =   0.859105 +/- 0.0317
  i      = 112.502735 +/- 0.4868 deg
  peri   = 150.892013 +/- 1.5105 deg
  node   = 137.382668 +/- 0.0000 deg
  Pi     = 288.274681 +/- 1.5106 deg
  q      =   0.954584 +/- 0.0055 AU
  f      =  29.104188 +/- 1.5105 deg
  M      =   1.175640 +/- 0.4263 deg
  Q      =  12.595734 +/- 2.9325 AU
  n      =   0.055889 +/- 0.0198 deg/day
  T      =  17.635180 +/- 6.0162 years
  Last perihelion JD = 2459415.542319 (2021-07-20 01:00:56.349429) +/- 1.0599 days
  Tj     =   0.321148 +/- 0.1682
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.709161e-04, +2.780174e-07, +1.188198e-02, +1.359310e-08, +1.574322e-04, -1.902190e-04
q   , +2.780174e-07, +3.188648e-05, +5.653665e-03, +2.250503e-09, +1.484173e-04, -3.146948e-05
Tp  , +1.188198e-02, +5.653665e-03, +1.148932e+00, +5.633285e-07, +2.825815e-02, -7.878128e-03
node, +1.359310e-08, +2.250503e-09, +5.633285e-07, +3.824937e-13, +1.262846e-08, -5.347058e-09
peri, +1.574322e-04, +1.484173e-04, +2.825815e-02, +1.262846e-08, +7.166312e-04, -1.765996e-04
i   , -1.902190e-04, -3.146948e-05, -7.878128e-03, -5.347058e-09, -1.765996e-04, +7.475041e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 73.708947

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.250e-06 s
  Stddev    = 1.12e-03 s

Begin point on the trajectory:
  Lon =    -2.116245 +/- 0.0008 deg
  Lat =    53.572151 +/- 0.0005 deg
  Ht  = 109420.47 +/- 55.66 m
End point on the trajectory:
  Lon =    -2.230499 +/- 0.0009 deg
  Lat =    53.532026 +/- 0.0006 deg
  Ht  = 95520.35 +/- 52.02 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107786.14,    97609.07,          0.019856,     44.03,     63.53,              57.73, 0.7150,    True,    True, {"ff_name": "FF_UK001L_20210810_015040_041_0480512.fits"}
    UK001Z,    True,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   104189.23,    98873.25,          0.137325,       nan,       nan,              50.98, 0.0000,    True,   False, {"ff_name": "FF_UK001Z_20210810_015039_447_0493824.fits"}
    UK0029,   False,    -4.441783,    52.004778,  230.00,   0.000000,   0.000000,   107841.63,    96072.91,          0.019277,     82.74,     19.52,              34.20, 0.3160,    True,    True, {"ff_name": "FF_UK0029_20210810_015039_004_0477696.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  66.933667,   0.000000,   109420.47,    95520.35,          0.025497,     31.54,     62.99,              73.97, 0.9237,    True,    True, {"ff_name": "FF_UK002Z_20210810_015033_122_0490752.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK001L,       0,  0.074759, 2459436.576850907411, 198.16473,  63.01134,              343.76013,  27.79024,       343.79469,       27.76644,    198.16473,     +63.01134,     198.08281,      +63.00094,  3716187.38, -1044180.68,  5195060.40,      53.567449,       -2.129662,  107786.14,  224659.58,       0.00,             4745.36,    -0.53,      0.00,           58858.57,    124.89,     86.49,         139.48,  +2.67,  +0.91
  1,     UK001L,       0,  0.115175, 2459436.576851375401, 198.39528,  62.48679,              343.42469,  27.34541,       343.42399,       27.34589,    198.39528,     +62.48679,     198.39740,      +62.48700,  3715225.02, -1045080.66,  5193005.93,      53.561521,       -2.146558,  105727.63,  223383.69,    2440.68,             7186.04,    51.83,  60388.99,           58858.57,     -2.51,     -1.74,           2.82,  +1.33,  -0.42
  2,     UK001L,       0,  0.155571, 2459436.576851842925, 198.67787,  61.97858,              343.06987,  26.92599,       343.06209,       26.93133,    198.67787,     +61.97858,     198.69652,      +61.98085,  3714289.10, -1045955.90,  5191007.92,      53.555750,       -2.163001,  103725.93,  222161.74,    4814.30,             9559.66,    38.30,  58758.76,           58858.57,    -27.90,    -19.36,          31.52,  +0.69,  -1.04
  3,     UK001L,       0,  0.195963, 2459436.576852310449, 198.94569,  61.47536,              342.72278,  26.50982,       342.70692,       26.52066,    198.94569,     +61.47536,     198.98268,      +61.47992,  3713373.97, -1046811.72,  5189054.25,      53.550102,       -2.179087,  101768.88,  220985.20,    7135.23,            11880.59,   -27.67,  57460.05,           58858.57,    -56.61,    -39.29,          64.31,  +0.21,  -1.51
  4,     UK001L,       0,  0.236347, 2459436.576852777507, 199.22316,  60.97825,              342.37198,  26.10231,       342.35709,       26.11247,    199.22316,     +60.97825,     199.25765,      +60.98247,  3712475.73, -1047651.73,  5187136.67,      53.544553,       -2.194884,   99848.20,  219848.26,    9413.29,            14158.65,  -136.04,  56410.02,           58225.90,    -52.94,    -36.73,          60.45,  +0.34,  -1.37
  5,     UK001L,       0,  0.276799, 2459436.576853245962, 199.54223,  60.39217,              341.96036,  25.62200,       341.94828,       25.63022,    199.54223,     +60.39217,     199.57014,      +60.39554,  3711428.43, -1048631.14,  5184900.86,      53.538076,       -2.213282,   97609.07,  218544.77,   12069.40,            16814.76,   129.61,  65660.75,           59108.71,    -42.74,    -29.65,          49.10,  +1.04,  -0.66
  0,     UK001Z,       1,  0.138660, 2459436.576851646416, 146.29059,  55.54356,               10.09338,  17.37646,         9.95933,       17.45328,    146.29059,     +55.54356,     146.48677,      +55.64378,  3714505.73, -1045753.32,  5191470.38,      53.557087,       -2.159163,  104189.23,  322713.16,       0.00,             9010.26,   488.22,      0.00,           53364.96,   -336.92,   -769.87,         537.13,  +6.09,  +3.55
  1,     UK001Z,       1,  0.178816, 2459436.576852111612, 146.61365,  55.37468,                9.93941,  17.17532,         9.82362,       17.24169,    146.61365,     +55.37468,     146.78339,      +55.46093,  3713805.46, -1046408.20,  5189975.41,      53.552766,       -2.171509,  102691.60,  321605.48,    1776.01,            10786.27,  -108.73,  44227.67,           53364.96,   -290.62,   -663.17,         464.38,  +2.47,  -0.07
  2,     UK001Z,       1,  0.219056, 2459436.576852577273, 147.03904,  55.11249,                9.74224,  16.87199,         9.62950,       16.93658,    147.03904,     +55.11249,     147.20447,      +55.19600,  3712804.76, -1047344.03,  5187839.10,      53.546586,       -2.189086,  100551.75,  320033.98,    4313.91,            13324.17,    51.25,  63069.12,           53364.96,   -281.98,   -643.23,         452.66,  +1.53,  -1.00
  3,     UK001Z,       1,  0.259248, 2459436.576853042468, 147.34529,  54.89034,                9.60486,  16.62119,         9.47587,       16.69503,    147.34529,     +54.89034,     147.53449,      +54.98543,  3712019.74, -1048078.16,  5186163.22,      53.541734,       -2.202916,   98873.25,  318809.56,    6304.83,            15315.10,  -332.91,  49535.39,           53364.96,   -321.34,   -733.69,         518.22,  +1.91,  -0.61
  0,     UK0029,       0,  0.071309, 2459436.576850861311,  98.53576,  47.78207,               40.95830,  23.50250,        40.97919,       23.49709,     98.53576,     +47.78207,      98.51810,      +47.76624,  3716213.32, -1044156.42,  5195115.79,      53.567609,       -2.129195,  107841.63,  258993.87,       0.00,             4679.57,   137.56,      0.00,           57255.17,    -20.68,     87.55,          71.64,  +3.08,  +1.01
  1,     UK0029,       0,  0.111537, 2459436.576851326972,  98.86914,  47.60618,               40.87735,  23.22724,        40.89286,       23.22322,     98.86914,     +47.60618,      98.85621,      +47.59444,  3715310.47, -1045000.75,  5193188.35,      53.562048,       -2.145055,  105910.40,  257091.64,    2289.76,             6969.33,    50.11,  56919.66,           57255.17,    -15.28,     64.66,          53.31,  +1.54,  -0.51
  2,     UK0029,       0,  0.151753, 2459436.576851792634,  99.16393,  47.43016,               40.81766,  22.96723,        40.81272,       22.96851,     99.16393,     +47.43016,      99.16885,      +47.43390,  3714482.52, -1045775.03,  5191420.82,      53.556944,       -2.159619,  104139.57,  255352.32,    4389.57,             9069.13,  -226.59,  52213.10,           57255.17,      4.85,    -20.50,          17.01,  +0.95,  -1.09
  3,     UK0029,       0,  0.192005, 2459436.576852258295,  99.57978,  47.25180,               40.68626,  22.65651,        40.71331,       22.64949,     99.57978,     +47.25180,      99.55703,      +47.23138,  3713461.90, -1046729.48,  5189241.98,      53.550645,       -2.177538,  101956.93,  253217.51,    6978.00,            11657.57,   -16.79,  64305.84,           57255.17,    -26.30,    111.54,          93.35,  +0.64,  -1.38
  4,     UK0029,       0,  0.232249, 2459436.576852723956,  99.94068,  47.05895,               40.59478,  22.35605,        40.62010,       22.34948,     99.94068,     +47.05895,      99.91952,      +47.03988,  3712517.52, -1047612.65,  5187225.88,      53.544811,       -2.194138,   99937.55,  251249.32,    9373.11,            14052.68,     0.16,  59514.60,           58244.58,    -24.47,    103.78,          87.54,  +0.52,  -1.48
  5,     UK0029,       0,  0.272517, 2459436.576853190083, 100.31809,  46.84647,               40.50393,  22.03287,        40.52094,       22.02847,    100.31809,     +46.84647,     100.30429,      +46.83368,  3711523.40, -1048542.33,  5185103.61,      53.538663,       -2.211609,   97812.11,  249186.04,   11894.33,            16573.90,   141.81,  62611.09,           59151.52,    -16.35,     69.30,          58.94,  +0.90,  -1.08
  6,     UK0029,       0,  0.312733, 2459436.576853655744, 100.63972,  46.67791,               40.41697,  21.76745,        40.43852,       21.76187,    100.63972,     +46.67791,     100.62204,      +46.66172,  3710709.86, -1049303.13,  5183366.83,      53.533627,       -2.225942,   96072.91,  247502.66,   13957.60,            18637.17,  -171.43,  51304.65,           58635.05,    -20.60,     87.39,          74.82,  +3.69,  +1.72
  0,     UK002Z,       1,  0.000000, 2459436.576850041747, 283.92569,  35.33045,              272.93053,  43.76994,       272.99960,       43.75434,    283.92569,     +35.33045,     283.86982,      +35.35605,  3718059.26, -1042430.14,  5199056.54,      53.578962,       -2.096830,  111790.84,  160118.79,       0.00,                2.00,  -326.10,      0.00,           61475.58,    130.57,    -65.49,         188.17,  +6.25,  +5.23
  1,     UK002Z,       0,  0.040812, 2459436.576850513928, 283.34117,  34.48166,              272.54069,  42.83733,       272.60378,       42.82311,    283.34117,     +34.48166,     283.28997,      +34.50511,  3716951.35, -1043466.23,  5196691.35,      53.572151,       -2.116245,  109420.47,  159385.13,    2809.82,             2807.81,    67.98,  68847.81,           61475.58,    120.36,    -60.36,         174.25,  +3.44,  +2.43
  2,     UK002Z,       0,  0.081464, 2459436.576850984711, 282.86671,  33.81348,              272.26160,  42.09018,       272.29782,       42.08201,    282.86671,     +33.81348,     282.83739,      +33.82699,  3716078.50, -1044282.50,  5194827.97,      53.566779,       -2.131582,  107553.23,  158841.62,    5023.49,             5021.49,  -120.62,  54454.20,           61475.58,     69.64,    -34.89,         101.14,  +1.36,  +0.36
  3,     UK002Z,       0,  0.122228, 2459436.576851456426, 282.32637,  33.02187,              271.93186,  41.21305,       271.94694,       41.20966,    282.32637,     +33.02187,     282.31446,      +33.02751,  3715059.07, -1045235.85,  5192651.65,      53.560498,       -2.149473,  105372.68,  158242.45,    7608.93,             7606.92,    55.93,  63424.51,           61475.58,     29.24,    -14.64,          42.63,  +0.84,  -0.16
  4,     UK002Z,       0,  0.162908, 2459436.576851927210, 281.85098,  32.31609,              271.64843,  40.43058,       271.64239,       40.43194,    281.85098,     +32.31609,     281.85667,      +32.31383,  3714157.86, -1046078.64,  5190727.74,      53.554941,       -2.165314,  103445.25,  157747.27,    9894.51,             9892.51,   -62.40,  56184.57,           60379.92,    -11.82,      5.91,          17.28,  +0.31,  -0.68
  5,     UK002Z,       0,  0.203660, 2459436.576852398925, 281.34331,  31.52345,              271.32592,  39.56287,       271.31173,       39.56606,    281.34331,     +31.52345,     281.35597,      +31.51811,  3713161.61, -1047010.31,  5188600.91,      53.548791,       -2.182813,  101314.79,  157235.99,   12421.16,            12419.15,    56.06,  62000.41,           60298.29,    -27.97,     13.99,          41.02,  +0.10,  -0.88
  6,     UK002Z,       0,  0.244388, 2459436.576852870174, 280.84071,  30.76981,              271.05047,  38.72182,       271.00161,       38.73280,    280.84071,     +30.76981,     280.88260,      +30.75138,  3712209.86, -1047900.36,  5186569.09,      53.542909,       -2.199545,   99279.76,  156784.55,   14834.93,            14832.93,    63.07,  59265.72,           60158.50,    -97.10,     48.50,         142.79,  +0.04,  -0.94
  7,     UK002Z,       0,  0.285072, 2459436.576853341423, 280.42259,  30.02095,              270.72605,  37.93056,       270.71132,       37.93387,    280.42259,     +30.02095,     280.43616,      +30.01537,  3711303.24, -1048748.21,  5184633.61,      53.537301,       -2.215496,   97341.43,  156388.52,   17134.26,            17132.25,   -41.76,  56516.71,           59797.11,    -29.50,     14.75,          43.50,  +0.53,  -0.44
  8,     UK002Z,       0,  0.325720, 2459436.576853811741, 280.02693,  29.31563,              270.43392,  37.18088,       270.44300,       37.17884,    280.02693,     +29.31563,     280.02063,      +29.31907,  3710451.37, -1049544.87,  5182815.00,      53.532026,       -2.230499,   95520.35,  156047.01,   19294.74,            19292.74,  -283.31,  53151.07,           59186.27,     18.31,     -9.16,          27.06,  +2.25,  +1.28

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.